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15397040412 = 223313219291531
BaseRepresentation
bin11100101011011110…
…00011000100011100
31110202001020200202000
432111233003010130
5223013120243122
611023500002300
71053360453435
oct162557030434
943661220660
1015397040412
116591256396
122b98530390
1315b4b92500
14a60c5848c
15601ae10ac
hex395bc311c

15397040412 has 288 divisors, whose sum is σ = 47099808000. Its totient is φ = 4330609920.

The previous prime is 15397040381. The next prime is 15397040419. The reversal of 15397040412 is 21404079351.

15397040412 is a `hidden beast` number, since 1 + 539 + 70 + 40 + 4 + 12 = 666.

15397040412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153970404122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15397040419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10056087 + ... + 10057617.

It is an arithmetic number, because the mean of its divisors is an integer number (163541000).

Almost surely, 215397040412 is an apocalyptic number.

15397040412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15397040412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549904000).

15397040412 is an abundant number, since it is smaller than the sum of its proper divisors (31702767588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15397040412 is a wasteful number, since it uses less digits than its factorization.

15397040412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 15397040412 in words is "fifteen billion, three hundred ninety-seven million, forty thousand, four hundred twelve".